Problems & Solutions in Group Theory for PhysicistsWorld Scientific, 2004 - 464 pages This book is aimed at graduate students in physics who are studying group theory and its application to physics. It contains a short explanation of the fundamental knowledge and method, and the fundamental exercises for the method, as well as some important conclusions in group theory.The book can be used by graduate students and young researchers in physics, especially theoretical physics. It is also suitable for some graduate students in theoretical chemistry. |
Table des matières
Preface | 1 |
GROUP AND ITS SUBSETS | 27 |
THEORY OF REPRESENTATIONS | 43 |
29 | 81 |
THREEDIMENSIONAL ROTATION GROUP | 115 |
SYMMETRY OF CRYSTALS | 173 |
PERMUTATION GROUPS | 193 |
LIE GROUPS AND LIE ALGEBRAS | 269 |
UNITARY GROUPS | 317 |
REAL ORTHOGONAL GROUPS | 375 |
THE SYMPLECTIC GROUPS | 433 |
| 457 | |
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Expressions et termes fréquents
adjoint representation angle angular momentum antisymmetric axis b₁ b₂ belongs block weight diagram boxes Bravais lattice c₁ c₂ calculate Clebsch-Gordan series coefficients column commutable contains corresponding coset denoted diagonal digits dimension direct product representation dominant weight E₁ eigenfunction eigenvalue eigenvectors elements equivalent F₁ F₂ finite group formula group G group space H₁ highest weight invariant subgroup inverse irreducible representation isomorphic lattice bases Lie group multiplication table nondiagonal matrix entries orthonormal P₁ parameters permutation group Problem quotient group R₁ real number reduction representation matrices representation matrix entries representation space respectively rotation S₁ satisfy similarity transformation similarity transformation matrix simple Lie algebra simple roots SO(N Solution space groups spinor representation standard tensor Young standard Young tableau SU(N subduced representation symmetric T₁ tensor space tensor subspace tensor Young tableaux twofold axes unitary matrix vector Young operator Young pattern Young tableau